Description of charged-particle ensembles in linear lattices using transverse Hill equation x'' + K(s)x = 0 with periodic K(s). Single-particle motion decomposes into betatron oscillations around a closed orbit; dispersion couples energy…
Beam dynamics
Related concepts
- Lorentz force law
- Synchrotron radiation
- Abraham–Lorentz radiation reaction
- RF cavity
- Synchrotron / storage ring
- Linac (linear accelerator)
- Magnetic lattice (FODO cell)
- Synchrotron radiation (beam output)
- Beam emittance
- Free-electron laser (FEL)
- Plasma wakefield acceleration
- Beam-beam interaction
- Hamilton–Jacobi equation